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# the number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is

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### Mohammed

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## The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ? a 2800 b 4000 c 5500 d 7000

The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ? a 2800 b 4000 c 5500 d 7000

Circumference of a Circle

The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ?

(a) 2800 (b) 4000 (c) 5500 (d) 7000

Open in App Solution Radius = 0.25 m Circumference = 2 π r = 2 × 22 7 × 0.25 m No:of revolutions = total distance circumference = 11000 × 7 2 × 22 × 0. 25 = 7000 revolutions Suggest Corrections 218

SIMILAR QUESTIONS

Q. The radius of a wheel is 0.25 m. The number of revolutions it will make to travel a distance of 11 km will be

(a) 2800 (b) 4000 (c) 5500 (d) 7000

Q. The radius of a circular wheel is

1.75 m

. The number of revolutions that it will make in covering

11 k m s is:

Q. The radius of a circular wheel is

1 3 4 m

. How many revolutions will it make in traveling

11 k m ?

Q. The radius of a circular wheel is 1.75 m. How many revolutions will it make in travelling 11 km?

(a) 10 (b) 100 (c) 1000 (d) 10000

Q. The radius of a wheel is

0.25 m

. How many rounds will it take to complete the distance of

11 k m ? View More RELATED VIDEOS

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स्रोत : byjus.com

## The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.

The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.

The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.

### SOLUTION

The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is 7000.

Explanation:

Here,

Number of revolutions =

Total distance

Distance covered inrevolution

Total distanceDistance covered in 1 revolution

Total Distance = 11 km = 11,000 m

Therefore,

Distance covered in one revolution = Circumference of wheel

= 2πr = 2×227×0.25 = 2×227×14 = 117 m Now,

Number of revolutions =

Total distance

Distance covered inrevolution

Total distanceDistance covered in 1 revolution

= 11000117 = 11000×711 = 1000 × 7 = 7000

Concept: Areas of Sector and Segment of a Circle

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स्रोत : www.shaalaa.com

## [MCQ] The number of revolutions made by a circular wheel of radius

Question 15 The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000 Here, Number of revolutions = (𝑻𝒐𝒕𝒂𝒍 𝒅𝒊𝒔𝒕𝒂𝒏𝒄𝒆)/(𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝒄𝒐𝒗𝒆𝒓𝒆𝒅 𝒊𝒏 𝟏 𝒓𝒆𝒗𝒐𝒍𝒖𝒕𝒊𝒐𝒏) Given Radius = 0.25 m, Total Distance = 11 km The

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## Question 15 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

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## The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is

The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800   (b) 4000   (c) 5500   (d) 7000

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### Transcript

Question 15 The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000 Here, Number of revolutions = (𝑻𝒐𝒕𝒂𝒍 𝒅𝒊𝒔𝒕𝒂𝒏𝒄𝒆)/(𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝒄𝒐𝒗𝒆𝒓𝒆𝒅 𝒊𝒏 𝟏 𝒓𝒆𝒗𝒐𝒍𝒖𝒕𝒊𝒐𝒏) Given Radius = 0.25 m, Total Distance = 11 km Therefore, Distance covered in one revolution = Circumference of wheel = 2𝜋r = 2 × 22/7 × 0.25 = 2 × 22/7 × 1/4 = 𝟏𝟏/𝟕 m Now, Number of revolutions = (𝑇𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒)/(𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑐𝑜𝑣𝑒𝑟𝑒𝑑 𝑖𝑛 1 𝑟𝑒𝑣𝑜𝑙𝑢𝑡𝑖𝑜𝑛) = 11000/(11/7) = 11000 ×7/11 = 1000 × 7 = 7000 So, the correct answer is (d)

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